Quantization of the Taub model with extrinsic time
The paper addresses the quantization of cosmological models, with application to the Taub model. By reducing the model with extrinsic time, a formalism is developed in order to define a conserved Schrödinger inner product in the space of solutions of the Wheeler-DeWitt equation. A quantum version of...
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paper:paper_05562821_v63_n2_p_Catren2023-06-08T15:42:26Z Quantization of the Taub model with extrinsic time Catren, Gabriel Ferraro, Rafael article cosmos gravity mathematical computing model quantitative assay quantum mechanics theory The paper addresses the quantization of cosmological models, with application to the Taub model. By reducing the model with extrinsic time, a formalism is developed in order to define a conserved Schrödinger inner product in the space of solutions of the Wheeler-DeWitt equation. A quantum version of classical canonical transformations is introduced for connecting the solutions of the Wheeler-DeWitt equation with the wave functions of the reduced system. Once this correspondence is established, boundary conditions on the space of solutions of the Wheeler-DeWitt equation are obtained to directly select the physical subspace. © 2000 The American Physical Society. Fil:Catren, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Ferraro, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2001 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v63_n2_p_Catren http://hdl.handle.net/20.500.12110/paper_05562821_v63_n2_p_Catren |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
article cosmos gravity mathematical computing model quantitative assay quantum mechanics theory |
spellingShingle |
article cosmos gravity mathematical computing model quantitative assay quantum mechanics theory Catren, Gabriel Ferraro, Rafael Quantization of the Taub model with extrinsic time |
topic_facet |
article cosmos gravity mathematical computing model quantitative assay quantum mechanics theory |
description |
The paper addresses the quantization of cosmological models, with application to the Taub model. By reducing the model with extrinsic time, a formalism is developed in order to define a conserved Schrödinger inner product in the space of solutions of the Wheeler-DeWitt equation. A quantum version of classical canonical transformations is introduced for connecting the solutions of the Wheeler-DeWitt equation with the wave functions of the reduced system. Once this correspondence is established, boundary conditions on the space of solutions of the Wheeler-DeWitt equation are obtained to directly select the physical subspace. © 2000 The American Physical Society. |
author |
Catren, Gabriel Ferraro, Rafael |
author_facet |
Catren, Gabriel Ferraro, Rafael |
author_sort |
Catren, Gabriel |
title |
Quantization of the Taub model with extrinsic time |
title_short |
Quantization of the Taub model with extrinsic time |
title_full |
Quantization of the Taub model with extrinsic time |
title_fullStr |
Quantization of the Taub model with extrinsic time |
title_full_unstemmed |
Quantization of the Taub model with extrinsic time |
title_sort |
quantization of the taub model with extrinsic time |
publishDate |
2001 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v63_n2_p_Catren http://hdl.handle.net/20.500.12110/paper_05562821_v63_n2_p_Catren |
work_keys_str_mv |
AT catrengabriel quantizationofthetaubmodelwithextrinsictime AT ferrarorafael quantizationofthetaubmodelwithextrinsictime |
_version_ |
1768542555826290688 |